Quantum isomorphism of $2$-graphs
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866917970055266304 |
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| author | Joardar, Soumalya Rahaman, Atibur Sharma, Jitender |
| author_facet | Joardar, Soumalya Rahaman, Atibur Sharma, Jitender |
| contents | We formulate a notion of the quantum automorphism group of a $2$-graph. After some preliminary computations, we define quantum isomorphism between a pair of $2$-graphs. We produce a `non-trivial' example of a pair of $2$-graphs that are not quantum isomorphic to each other. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_05083 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Quantum isomorphism of $2$-graphs Joardar, Soumalya Rahaman, Atibur Sharma, Jitender Operator Algebras 46L67 We formulate a notion of the quantum automorphism group of a $2$-graph. After some preliminary computations, we define quantum isomorphism between a pair of $2$-graphs. We produce a `non-trivial' example of a pair of $2$-graphs that are not quantum isomorphic to each other. |
| title | Quantum isomorphism of $2$-graphs |
| topic | Operator Algebras 46L67 |
| url | https://arxiv.org/abs/2309.05083 |